{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--BOOK_INFORMATION-->\n",
    "<img align=\"left\" style=\"padding-right:10px;\" src=\"figures/PDSH-cover-small.png\">\n",
    "\n",
    "*This notebook contains an excerpt from the [Python Data Science Handbook](http://shop.oreilly.com/product/0636920034919.do) by Jake VanderPlas; the content is available [on GitHub](https://github.com/jakevdp/PythonDataScienceHandbook).*\n",
    "\n",
    "*The text is released under the [CC-BY-NC-ND license](https://creativecommons.org/licenses/by-nc-nd/3.0/us/legalcode), and code is released under the [MIT license](https://opensource.org/licenses/MIT). If you find this content useful, please consider supporting the work by [buying the book](http://shop.oreilly.com/product/0636920034919.do)!*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--NAVIGATION-->\n",
    "< [Histograms, Binnings, and Density](04.05-Histograms-and-Binnings.ipynb) | [Contents](Index.ipynb) | [Customizing Colorbars](04.07-Customizing-Colorbars.ipynb) >\n",
    "\n",
    "<a href=\"https://colab.research.google.com/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/04.06-Customizing-Legends.ipynb\"><img align=\"left\" src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open in Colab\" title=\"Open and Execute in Google Colaboratory\"></a>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Customizing Plot Legends"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot legends give meaning to a visualization, assigning meaning to the various plot elements.\n",
    "We previously saw how to create a simple legend; here we'll take a look at customizing the placement and aesthetics of the legend in Matplotlib.\n",
    "\n",
    "The simplest legend can be created with the ``plt.legend()`` command, which automatically creates a legend for any labeled plot elements:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('classic')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 10, 1000)\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(x, np.sin(x), '-b', label='Sine')\n",
    "ax.plot(x, np.cos(x), '--r', label='Cosine')\n",
    "ax.axis('equal')\n",
    "leg = ax.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "But there are many ways we might want to customize such a legend.\n",
    "For example, we can specify the location and turn off the frame:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax.legend(loc='upper left', frameon=False)\n",
    "fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can use the ``ncol`` command to specify the number of columns in the legend:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax.legend(frameon=False, loc='lower center', ncol=2)\n",
    "fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can use a rounded box (``fancybox``) or add a shadow, change the transparency (alpha value) of the frame, or change the padding around the text:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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4UbxH7N5tgzeR7L//tRfGO+/YCOYpLFoEXHop8O9/AzNm2N3r0CEMcRYiJgbo2xdISQH+8Q/gL3+x+Rjr17sbl+uK+04Q6A3BtNgLs2HDSVsdixZZL063bqqpqaG5vFPWr1ft00e1bl3VuXPdjoYC5vervvGG6plnqj70kNvRnNrixaotWqhedpnqTz8VeEhGhuqAAdZKnzHDWu2RKjNT9bHH7JPw6NH2fbSDZ7tiCvPoo6r16v3PZ7C9e1XvuUe1Vi3VDz4IzWVDZd48uzsDBtgLiqLI+vU2injRRarJyW5HU3S5uaqTJ6tWq6Y6YcLRH/v9qtOn23vU/ferHjjgYozFtHWras+e1rBbvNjtaIJTMhO7quonn6iedZbqkCG6cM4BrVPHJtX88UfoLhlK+/erDh9uL6iPPnI7GiqS2bNVq1ZVffppS5TRaMsWm76l1v1+zTXWd710qbthBcrvV33vPdWaNVWHDYve1nsgid2xeeynUqx57AHI2fkHfrp8GCqv+Q6/PfMO2gy5OGTXCpdvvgEGDAC6d7dxgbJl3Y6ITmrDBuDw4YIXGUWZzz8Hbr8duOUWGwcKZC1HJNm9G/jrX22e/dtv26LDaBLIPHZPJPYNG2wtU7VqwIyeM1GpQp79wAP27LG1K6tW2ZOyaVO3IyKvys4GRo2ysdQ33rDFRV6haounRo60SQp33RU9pQpKZGL/+GMrmTF6NDB0aPT8ZxWHqr3QHngA+L//s1Y8kZO2bQP69LHG0WuvnbBSdNEiW/vfpo1r8TklLc3afBdcALzyClCunNsRnVogiT06pjsWwO8HEhOBe+4BZs0Chg3zZlIH7H7ddhvw5Zd2n4cPB3Jy3I6qhNq7F5g0qUjTA6PF4sVAq1ZWSuOjjwpY/n/ggNUHeOUVV+JzUkIC8N13Nk2ybVtg40a3IwqNqEzse/fa82zBAmDZsiI2JHbsCHlcoda0qZUVWbvWajzt3Ol2RCXMzz9bBvzlF1sUEeVUgeeft5b6K6/Yp94Cy8lcdZW12p96CrjvvqhvVZQtC7z5ps15b9MG+OILtyNyXtQl9g0bbJFE3bqW2ItUCCgry96en3wy6ltalStb91P79pZjVq50O6ISYuFCqwz34IPACy9EfSW3nBwbUHzpJeDbby13F+r884GlS+0F2LWrlWKMYiLWdfvOO1ZQ7Nln3Y7IYcWdRhPoDQ5Md/z2WyuiNXlyAH+8ebOtOb7llvAWtQihGTNs6vG8eW5H4nGvvmoVrjyyXn3PHtUuXVSvukp1375i/nFuruqDD6ouWBCS2Nzw669WJ23o0MicqQovT3d87z1g8GAbROzePcCTHDpkJUwPHLDaopUqBRxPpFi0yMqYPvqojfSTw3JzgYEDgTFjrNUa5TZvtuocHToAzz1nY6Jks8/69LGS9zNmRNb+CZ6cFaNqXXv//rd1QbRoEWQgeXnWT5iSYhPFPTDiunatvVivv96mcoW47DZFqR9/tD077r8f+NvfPPHUd1R2NnD33Ta1eM6cyKn37rnE7vfbk/DLL4FPP3Vwzw1V6ys891yHTui+jAwbUD73XJuvG+VdwOSwhQuBG28EpkwBevd2O5rIpWqffqdOtYVakZAiPDXdMTfXVr8tW2Y7ETm6kZJIZPyPOahaNWD+fNtLsk8fVomkYz76yJL6zJkhTOpffAGMHRv1kxNErNftoYdsO74VK9yOKDARmdgPH7bklJFh75rx8W5HFB3KlbMXcYUKNsvh+E23qQg2bbJuOr/f7Ugc8/rrttZj7lzA5wvhhVq0sL7SYcM88fjdfbctBuzSxXpso03EJfZ9+ywpHUlSYV0Ztn17GC8WGmXK2P6tjRsDnTrZmyMVwerVNof03HM9M0jx9NO2oG3hQuDiUJdOqlbNLrR8uX3U9sA8/759bb57r16RX1r/RBH1DM7IAC6/3FaHvfVWmIsPHTwIXHKJXTjKlSplC0+uvtpy1ZYtbkcU4Vatst3GJ0ywFmeUUwX++U/g5Zdt1lSjRmG6cKVKton2jh2WFbOywnTh0Ona1Va2Dxxoc96jRnHnRwZ6wynmsf/2m80lHTXKxb0LU1NVa9dWfeEFlwJw3qRJqvXrq27c6HYkESolxRZHzJjhdiSO8PutdvqFF1rpXVdkZdl6kR9+cCkA561cafs7TJ0a/msjWuuxb9tmBfHHjXPiYQjShg2qDRqoPvWU25E45vnnbfeb9evdjiQC3XyzbZrpAX6/1R2/+GLV3bvdjsZ70tJs24f//Ce81w0ksbu+PGHrVut+GTjQSoa6rkED4KuvLCgRYMQItyMK2r332vRHn89mznhgnY1zpk3zxIRuVRv3TU62/2NOOHBeo0Y2jNC5s5VkuOcetyM6OVcTe3q6DfDdeaeV4IgYtWsDSUm2TM8j7r7bkvvll9vMtGjbbCBkPJDU/X57805JsVlkHlhQHbEaNrTUcPnltqApUodkXEvsmzdbUh88OEIbxbVq2c1Dbr/dknvnzjbG1ayZ2xFRsPx+24glNdX+T+Pi3I6oEPPm2QSFypXdjiQox3+oz8kB/v53tyP6M1dmxfz6q3ULDB0aoUndwwYMAJ55xubn/vij29GE2YoVtkjCI/x+qw+UlmbT8SI6qQPWR3TFFbZXXZSrW9eS+8svAxMnuh3NnzmS2EWkm4j8LCLrReShwo795RdL6iNGRO7HGK+78UZg8mRbL5Cc7HY0YbJokRWxj9alhCfIy7N64hs22OKjihXdjqgInnzSmrmdO0d92V/gWI/ttGnAuHFuR3OC4o62nngDEANgA4AGAMoAWAHgggKO03XrbHbGiy+GfCA5NGbPVh050sX5mM6aNcvK/i5Z4nYkIbZwoWrVqqpffOF2JI7IzVUdMEC1UyfVAwfcjqaY/H4r+9usmYvzMZ3122+qjRurPvxwaFID3JjuCKANgHnHfT8SwMgCjtPatVVfftn5Ox42u3aptmih+ve/eya5z5ljyf2bb9yOJETmz7ek7pFa6jk5qv37q15xherBg25HEyC/X3X0aNU2bTzzOtqxQ7Vp09C0+wJJ7E50xZwF4Pi1jen5P/uTceOivGb4GWfYtk1ffml9SRrdBY8AW5365ptAz56296WnfP890K+f1d7v1MntaIKWkwPcfLP1YsyeHR0bMRdIxEoovv22J2YlAUD16seq0D74oPupwYlZMQX9zxR4tzZvTkRion3t8/ngC2lVohCpUsUGgbp0sV2ln3km6p+c3boB06dbTYz337eqdp7QrJnN7Qy6iL/7cnKA/v1tr5hZs4DTT3c7oiCJ2Aikh1Stasn9yittpsy//hVYakhKSkJSUlJQsQRdj11E2gBIVNWu+d+PBABVfeyE4zTYa0WUPXusNfjii0D9+m5H44gvv7SB1XfftTEuigzZ2fb/kptrb7ynneZ2RFSYP/6wdl/bts60+1zZaENEYgGsBdAZwFYAyQBuUtXUE47zVmL3qK++sp2YZsywlge5KyvLtj4sVcrecD2f1LOyPHEn9+yxAmItW9rub8EUDHVlow1VzQUwBMA8AGkAZp6Y1Cl6XHYZ8OGH1pcbbaVKXe/YdNjhw7YxRmysbZLhgXxXuDVrgKZNPbHiOz7eVgEvX26LMMNdot6Reeyq+qmqnqeq56jqBCfOSe7p0MFq4d96qw0GRYV337V3I484fNjGPMqVs7sW1hLWbmnUyLKgz2erGKPckSrGqanAX/8a3uQeUfXYPeGrr2z1SJRr29Y2xLntNvs3or31lu3OPHKk25E4IjPTNp2Oj7eJIyVq/9rhw+3/0uez1YxRrmJFW0C2di1wxx3hSw0RvZl11PH7bTlntWq2G26s68Uzg5acDPToYZsg9+rldjQFeP1121XCI5XNDh0CrrkGqFnTM0+hwEyeDDzxhI3on3OO29EE7eBB+3+tXduesjExRf9bVwZPi3yhkpDYAWtuXXedzXmfNs0Tr8wffgC6dwdeeMEGViPGyy/bfOgFC4DzznM7mqAdPGhvomefDbz2WvFe/J706qs2ZbVVK7cjccShQ5YaqlcH3nij6KmBiT1SZGbaqFfFijZB3AOfpVNSbL77s8/a1DvXqVqt2hEjPNGi27/fkvo55wD/+Q+TuldlZtpiwPh460EsSmpgYo8khw8DffoANWpYy8MDVq60KVyTJgE33eR2NN7x++/Wg3fhhbYswiN7adNJHJntVK5c0cZQmNgjTVYWsHFjGHcTDr1Vq2zxxRNPALfc4nY00W/7dns8u3cHHn886hcxUxFlZVm3ZunStkl2YbOeXJnHToU47TRPJXUAaNLEurRHjrTWJQVu40abWnrTTUzqRfbmm7Y/XZQ77TQrYQTYoOqBA86en4mdii0hAfj6a+uSGTcuDOuCcnKA8eOdf/a7KC0N6Njx2CxNJvUiqlPHBnlmzXI7kqCVKWMLz+rUsRL1u3Y5d24mdjfs3+92BEFr0AD45htbyDRkSAjn52Zm2ljFd995pvP5hx+sFs/EiTb+S8XQqZOtmhs0yKaWRLnYWBss79TJPr05tejWG6+UaPLzzzbf+qef3I4kaGeeaTvIrF5t3QlZWQ5fYM8em4pTsaK9g0Rtndpj5s61gdIpUzhGEbCWLa07ZswY4Omn3Y4maCLWFXfnnZbc09KCPycTe7idfz7w1FP22euLL9yOJmiVKlmyys216Xr79jl04l9/Bdq1s6ki06Z5YsroK6/YdnazZtl8ZgpCo0a23eEHHwA7drgdjSNGjLBlGZ062QfUYHBWjFsWLbKyfRMm2FrjKJeXZ5uTf/UVMGcOUK9ekCccPtzKIXtgY1xVYOxYq5g5dy7QsKHbEXmIqucGKD79FBg40Bbf3nADpztGn7VrbZ7bPffY23WUUwWee86mQn74IdC6dZAn88ALNisLuPtuK1z48ce26pDoVFJSbLbMkCHAQw8xsUefjAwbDk9IcDsSx8yZA9x+u9Wh7tfP7Wjcs327LUQ56ywb5ytf3u2IKJqkp1sxuOXLmdgpQqxYYS2O226zboiStkQ+OdmS+t13W40yD3z4iB6TJwOVK9teglEuNxcoXZoLlChCNG9ue0l//bVtmP377yc5cONGm5d86FBY4wult96y+/z888DDDzOph127dvZuOmKEZcYoFmgNQSb2SDVvXvi3XXFYjRq273ezZsDFF1sr9n989hnQpg3Qvj1QtqwrMTopM9Na6I88YtVmOfPFJc2b25PtSP2LnTvdjijsmNgjUWamzXvq2tU6aqNYbCzw5JM23fhIK1YPZwH3329ZcOZM4L77or5Zm5YGXHKJld794QcrvUAuqlLFppe0awe0aGGr6UoQJvZIVLasrfw5Mo874rcwOrXeve219f7r+7GhehtkrvnVhv47dnQ7tKCoWvHOjh1thuZbb9l6KooAMTHWQJoxw0awSxAOnka6xYuBAQNsBeZTT0V91sjJAabf8SUe/KwTJr8o6NPH7YgCl54O3HWXrY9580220ik0WN3Ri9q3t5ZtfHzUd1cAtoD0tjcvx6zZgpEjbQHG1q1uR1U8qrbD0YUX2hDB0qVM6hRZmNijQXy8FZOoUMHtSIqnkBkJrVvblMiEBBvrevbZ6NgDfPlye6+dPNkGhseM8US1g5JH1RYGzp0bhvKk4cfEHu0i8Unp99tOzA0bFjr4W7aszSBZvNhqfLVoAXzySWTepYwMYPBgK+B1++02lbN5c7ejooCJWHGj4cOtm9MDRfmOx8QezfLygMsus+ZuJMwD9/stQ7dsCbz0ku37VbPmKf+sUSObHjh+PPDAA4DPF3wRJKfs3g2MGmUxli5ts1/uvNMzFYRLtquvtimRPXoAV1xhNZvWr3c7KvPrr0G1cIJ6eorIDSKSKiJ+EWkZzLkoADExltS//toKpD/2GPDHH+7EsmyZNWEffdRW5Xz7bbGKxYjYvO+VK60AUr9+9p41Z4470/k3bbI3mfPOs4oPy5fbQ125cvhjoRAqXdqm265ZA9SubVMk3ZSSYjWwW7UKqjh7ULNiRCQBgB/ASwD+rqrLCjmWs2JCKTXV+uE//hj4xz+smRlO6en2cbZbN0cGeXNygPfes4lAmZnW/TFgQGhnreXkWL/5K6/YbNPbbrMiTPWMlEKcAAAIP0lEQVTrh+6aRDh40J7sU6YA27ZZn9/gwUBcHAAXqzuKSBKY2CPDrl3Wr920qfPnVgXWrbO+8zDN0FG1+e9Tp1rp7VatrDBS9+72ISVYhw7ZB57Zs+21de65tgHGrbdG31g1hYiq7dh02WX2xIuPd/b8U6ZYg2zQIBvEOaGOABM7FW7SJNs3tEkT6zRu0KDwpfybN9sngbQ0YMkSqyEfG2tfu7Dg49AhG1z99FObzBAXZ709LVta2YL69e3TdEEFx1RtQ6YtW+wuLV9uvUfJyTZt8aqrrGSNE28W5DG5ubZQ4b//tZ2bGja0xYNt2gA331z43/r9NlCzdq1tidm1a7EvH5LELiLzAdQo4FejVXVW/jFJYGKPfAsX2q5Nq1dbn+LGjdbH+PnnQNu2fz6+b1/rs09IsOzZsSNQt25EzKf3+23c6/vvLUGvWmXjTRkZlvArVLCd9LKzrStnzx5L+LVr29258ELgoots6mKUr/micMrOtlbB4sVW2W7ixD8fs26dtewPHrQnZIUK9mbQqZNtVlBMEd9iHzt27NHvfT4ffD5f0NemIKjak69MGbt5QFYWsHevfTA5dAg47TT7UBIXd7TLkii0srJs9L18eaBatWK/tpKSkpCUlHT0+3HjxkV2YmeLnYioeMJeUkBEeolIOoA2AD4RkXnBnI+IiILHImBERBGMRcCIiIiJnYjIa5jYiYg8homdiMhjmNiJiDyGiZ2IyGOY2ImIPIaJnYjIY5jYiYg8homdiMhjmNiJiDyGiZ2IyGOY2ImIPIaJnYjIY5jYiYg8homdiMhjmNiJiDyGiZ2IyGOY2ImIPIaJnYjIY5jYiYg8homdiMhjmNiJiDyGiZ2IyGOY2ImIPCaoxC4iT4nIGhFZKSL/FZF4pwIjIqLABNti/wJAE1VtBmAtgJHBh0RERMEIKrGr6ueqmpv/7RIAtYMPiYiIguFkH/tfAMx18HxERBSA2FMdICLzAdQo4FejVXVW/jGjAeQCmF7YuRITE49+7fP54PP5ihEqEZH3JSUlISkpKahziKoGdwKRgQAGAeisqocKOU6DvRYRUUkjIlBVKc7fnLLFfooLdgPwIIDLCkvqREQUPkG12EVkPYDTAPye/6MlqjroJMeyxU5EVEyBtNiD7oop8oWY2ImIii2QxM6Vp0REHsPETkTkMUzsREQew8ROROQxTOxERB7DxE5E5DFM7EREHsPETkTkMUzsREQew8ROROQxTOxERB7DxE5E5DFM7EREHsPETkTkMUzsREQew8ROROQxTOxERB7DxE5E5DFM7EREHsPETkTkMUzsREQew8ROROQxTOxERB7DxE5E5DFBJXYReVREVopIioh8LiK1nAqMiIgCI6oa+B+LxKnqvvyvhwK4QFUHneRYDeZaREQlkYhAVaU4fxNUi/1IUs9XHgAzNxGRy2KDPYGITABwK4C9ADoFHREREQXllF0xIjIfQI0CfjVaVWcdd9xIAKer6tiTnIddMURExRRIV8wpW+yqekURzzUDwCcACkzsAJCYmHj0a5/PB5/PV8RTExGVDElJSUhKSgrqHMEOnjZU1XX5X98H4DJVvf4kx7LFTkRUTCFpsZ/C4yJyPgA/gE0ACpwRQ0RE4RNUi71YF2KLnYio2MI+3ZGIiCIPEzsRkccwsRMReQwTuwuCncrkJXwsjuFjcQwfi+AwsbuAT9pj+Fgcw8fiGD4WwWFiJyLyGCZ2IiKPCes89rBciIjIY4o7jz1siZ2IiMKDXTFERB7DxE5E5DEhT+wi0k1EfhaR9SLyUKivF6lEpI6ILBSRNBFJFZFhbsfkNhGJEZHlIjLH7VjcJCLxIvK+iKzJf360cTsmt4jI3/JfH6tE5G0ROd3tmMJJRF4TkZ0isuq4n1URkS9EZF3+v5VPdZ6QJnYRiQHwAoCrAFwAoL+IXBDKa0awXAAjVDUBQGsA95bgx+KIYQDS3A4iAjwL4DNVbQSgOUroYyIiZwEYCqClqjYBEAOgn7tRhd1UAN1O+NlDABaoakMAC/K/L1SoW+yXAFivqr+oajaAdwBcF+JrRiRV3a6qP+Z/vR/24j3L3ajcIyK1AVwN4BW3Y3GTiMQB6AjgVQBQ1WxV3eNuVK6KBVBWRGIBlAOwzeV4wkpVvwaw+4QfXwfgjfyv3wDQ81TnCXViPwvAluO+T0cJTmZHiEg9ABcCWOpuJK56BsA/YLX8S7IGADIAvJ7fLfWKiJR3Oyg3qOpWAP8CsBnAdgB7VfVzd6OKCGeq6nbAGogAqp/qD0Kd2Auae1mi51eKSAUAHwAYrqr73I7HDSLSA8BOVf3B7VgiQCyAiwC8qKoXAjiIInzU9qL8vuPrANQHUAtAeREZ4G5U0SnUiT0dQJ3jvq+NEvbR6ngiUhqW1Ker6odux+OidgCuFZFfYd1zl4vIW+6G5Jp0AOmqeuTT2/uwRF8SXQFgo6pmqGoOgA8BtHU5pkiwQ0RqAkD+vztP9QehTuzJABqKSH0RKQMbCJkd4mtGJBERWD9qmqo+7XY8blLVkapaW1XrwZ4TX6pqiWyZqepvALbkbzEJAJ0BrHYxJDdtBtBaRMrlv146o4QOJJ9gNoCB+V8PBDDrVH8Q7J6nhVLVXBEZAmAebIT7NVVNDeU1I1g7ALcA+ElEUvJ/NkpVP3UxJooM9wGYnt/4+QXA7S7H4wpVXSoi7wP4ETaLbDmAl92NKrxE5G0APgBVRSQdwFgAjwOYKSJ3wN78bjjleVhSgIjIW7jylIjIY5jYiYg8homdiMhjmNiJiDyGiZ2IyGOY2ImIPIaJnYjIY5jYiYg85v8BUJhQj8pL64IAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax.legend(fancybox=True, framealpha=1, shadow=True, borderpad=1)\n",
    "fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For more information on available legend options, see the ``plt.legend`` docstring."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Choosing Elements for the Legend\n",
    "\n",
    "As we have already seen, the legend includes all labeled elements by default.\n",
    "If this is not what is desired, we can fine-tune which elements and labels appear in the legend by using the objects returned by plot commands.\n",
    "The ``plt.plot()`` command is able to create multiple lines at once, and returns a list of created line instances.\n",
    "Passing any of these to ``plt.legend()`` will tell it which to identify, along with the labels we'd like to specify:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "y = np.sin(x[:, np.newaxis] + np.pi * np.arange(0, 2, 0.5))\n",
    "lines = plt.plot(x, y)\n",
    "\n",
    "# lines is a list of plt.Line2D instances\n",
    "plt.legend(lines[:3], ['first', 'second','third']);\n",
    "#plt.legend(lines[:5], ['a', 'b','c','d','e']);\n",
    "#plt.legend(lines[1:5], ['a', 'b','c','d','e']);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I generally find in practice that it is clearer to use the first method, applying labels to the plot elements you'd like to show on the legend:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y[:, 0], label='first')\n",
    "plt.plot(x, y[:, 1], label='second')\n",
    "plt.plot(x, y[:, 2:])\n",
    "plt.legend(framealpha=1, frameon=True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that by default, the legend ignores all elements without a ``label`` attribute set."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Legend for Size of Points\n",
    "\n",
    "Sometimes the legend defaults are not sufficient for the given visualization.\n",
    "For example, perhaps you're be using the size of points to mark certain features of the data, and want to create a legend reflecting this.\n",
    "Here is an example where we'll use the size of points to indicate populations of California cities.\n",
    "We'd like a legend that specifies the scale of the sizes of the points, and we'll accomplish this by plotting some labeled data with no entries:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "cities = pd.read_csv('data/california_cities.csv')\n",
    "\n",
    "# Extract the data we're interested in\n",
    "lat, lon = cities['latd'], cities['longd']\n",
    "population, area = cities['population_total'], cities['area_total_km2']\n",
    "\n",
    "# Scatter the points, using size and color but no label\n",
    "plt.scatter(lon, lat, label=None,\n",
    "            c=np.log10(population), cmap='viridis',\n",
    "            s=area, linewidth=0, alpha=0.5)\n",
    "plt.axis(aspect='equal')\n",
    "plt.xlabel('longitude')\n",
    "plt.ylabel('latitude')\n",
    "plt.colorbar(label='log$_{10}$(population)')\n",
    "plt.clim(3, 7)\n",
    "\n",
    "# Here we create a legend:\n",
    "# we'll plot empty lists with the desired size and label\n",
    "for area in [100, 300, 500]:\n",
    "    plt.scatter([], [], c='k', alpha=0.3, s=area,\n",
    "                label=str(area) + ' km$^2$')\n",
    "plt.legend(scatterpoints=1, frameon=False, labelspacing=1, title='City Area')\n",
    "\n",
    "plt.title('California Cities: Area and Population');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The legend will always reference some object that is on the plot, so if we'd like to display a particular shape we need to plot it.\n",
    "In this case, the objects we want (gray circles) are not on the plot, so we fake them by plotting empty lists.\n",
    "Notice too that the legend only lists plot elements that have a label specified.\n",
    "\n",
    "By plotting empty lists, we create labeled plot objects which are picked up by the legend, and now our legend tells us some useful information.\n",
    "This strategy can be useful for creating more sophisticated visualizations.\n",
    "\n",
    "Finally, note that for geographic data like this, it would be clearer if we could show state boundaries or other map-specific elements.\n",
    "For this, an excellent choice of tool is Matplotlib's Basemap addon toolkit, which we'll explore in [Geographic Data with Basemap](04.13-Geographic-Data-With-Basemap.ipynb)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Multiple Legends\n",
    "\n",
    "Sometimes when designing a plot you'd like to add multiple legends to the same axes.\n",
    "Unfortunately, Matplotlib does not make this easy: via the standard ``legend`` interface, it is only possible to create a single legend for the entire plot.\n",
    "If you try to create a second legend using ``plt.legend()`` or ``ax.legend()``, it will simply override the first one.\n",
    "We can work around this by creating a new legend artist from scratch, and then using the lower-level ``ax.add_artist()`` method to manually add the second artist to the plot:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "lines = []\n",
    "styles = ['-', '--', '-.', ':']\n",
    "x = np.linspace(0, 10, 1000)\n",
    "\n",
    "for i in range(4):\n",
    "    lines += ax.plot(x, np.sin(x - i * np.pi / 2),\n",
    "                     styles[i], color='black')\n",
    "ax.axis('equal')\n",
    "\n",
    "# specify the lines and labels of the first legend\n",
    "ax.legend(lines[:2], ['line A', 'line B'],\n",
    "          loc='upper right', frameon=False)\n",
    "\n",
    "# Create the second legend and add the artist manually.\n",
    "from matplotlib.legend import Legend\n",
    "leg = Legend(ax, lines[2:], ['line C', 'line D'],\n",
    "             loc='lower right', frameon=False)\n",
    "ax.add_artist(leg);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x19f75df6da0>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "lines = []\n",
    "styles = ['-', '--', '-.', ':']\n",
    "x = np.linspace(0, 10, 1000)\n",
    "\n",
    "for i in range(4):\n",
    "    lines += ax.plot(x, np.sin(x - i * np.pi / 2),\n",
    "                     styles[i], color='black')\n",
    "ax.axis('equal')\n",
    "\n",
    "# specify the lines and labels of the first legend\n",
    "ax.legend(lines[:2], ['line A', 'line B'],\n",
    "          loc='upper right', frameon=False)\n",
    "ax.legend(lines[2:], ['line C', 'line D'],\n",
    "          loc='lower right', frameon=False)\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is a peek into the low-level artist objects that comprise any Matplotlib plot.\n",
    "If you examine the source code of ``ax.legend()`` (recall that you can do this with within the IPython notebook using ``ax.legend??``) you'll see that the function simply consists of some logic to create a suitable ``Legend`` artist, which is then saved in the ``legend_`` attribute and added to the figure when the plot is drawn."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!--NAVIGATION-->\n",
    "< [Histograms, Binnings, and Density](04.05-Histograms-and-Binnings.ipynb) | [Contents](Index.ipynb) | [Customizing Colorbars](04.07-Customizing-Colorbars.ipynb) >\n",
    "\n",
    "<a href=\"https://colab.research.google.com/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/04.06-Customizing-Legends.ipynb\"><img align=\"left\" src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open in Colab\" title=\"Open and Execute in Google Colaboratory\"></a>\n"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
